In this case the spectrum and spectral multiplicity of A are studied by use of P(t) and its relation to the matrix (λ) = j∞, ∞ [(t-λ.)-1-t(1 + t2)-1]dP(t), where λ is a complex variable. A criterion is given for when the spectral multiplicity of A is two and for...
doi:10.1023/A:1022410704309A new approach to finding analytical solutions of linear delay algebraic-differential equations is suggested. The analytical form of the solution is determined in terms of the infinite set of eigenvalues of a parametric matrix whose entries are the delay-time operators exp(...
Spectral representation of the three-body Coulomb problem: Perspectives for highly doubly excited states of helium Spectral Representation of the Three-Body Coulomb Problem. II: Autoionizing Doubly-Excited States of Unnatural Parity in Helium. Phys. Rev. A 2010, ... J Eiglsperger,B Piraux,J Mad...
A schematic representation of a spectral tree from mzCloud. The MS spectra are acquired for a given compound in multiple polarities (ESI +/-), and for a range of adducts. Each precursor is exhaustively fragmented using different fragmentation techniques (CID, HCD) and at multiple collision energ...
The object representation is performed using the sudden increase in gradient as a breaking point. The spectral classification performed by kernel function turns out noisy in most cases. The assumption, that the best partition maps to one level of the previously computed hierarchical segmentation [8]...
The goal of spectral imaging is to capture the spectral signature of a target. Traditional scanning method for spectral imaging suffers from large system volume and low image acquisition speed for large scenes. In contrast, computational spectral imaging
Moreover, let M be the Weyl function associated with \(\Gamma \), let \(\Omega \) be the measure in the Herglotz integral representation of M, and let \(\rho \) be its trace measure \(\rho :={{\,\textrm{tr}\,}}\Omega \). Then the operator part of L is unitarily ...
, 2002a; Janosi et al., 2006; Kosztin and Schulten, 2008), but in other approaches one needs the spectral density in its energy representation, i.e., the exciton picture. Let us denote the unitary transformation matrix between the site and the exciton representation by U. Then the ...
A schematic representation of a spectral tree from mzCloud. The MS spectra are acquired for a given compound in multiple polarities (ESI +/-), and for a range of adducts. Each precursor is exhaustively fragmented using different fragmentati...
-consider the connection between groups relative to the density of each group: 其中,vol 是每个group的volume,也就是normalize by group volume. 最后的目标是最小化Ncut(A,B). 4. Ncut 的求解: -Matrix Representation: -Objective Function of Ncut: ...